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  1. Uniform-in-time propagation of chaos for Consensus-Based Optimization
    2025/05/13 by Gerber, Nicolai, Hoffmann, Franca, Kim, Dohyeon +1 · 3 citations
    #35K55 #35Q93 #65C35 #70F45 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
  2. Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation
    2024/11/22 by Schiavo, Lorenzo Dello · 1 citation
    #49Q22 #60G57 #60H17 #60J46 #70F45 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)
  3. Mean-field limits for Consensus-Based Optimization and Sampling
    2023/12/12 by Nicolai Jurek Gerber, Franca Hoffmann, Gerber, Nicolai Jurek +3 · 5 citations
    Mathematics · Physics and Astronomy · #35K55 #35Q93 #65C35 #70F45 #Analysis of PDEs (math.AP) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Probability (math.PR) #Random Matrices and Applications #Theoretical and Computational Physics
  4. On the emergent dynamics of the infinite set of Kuramoto oscillators
    2023/09/28 by Ha, Seung-Yeal, Lee, Euntaek, Shim, Woojoo · 1 citation
    #34D05 #34G20 #70F45 #Dynamical Systems (math.DS) #FOS: Mathematics
  5. Macroscopic diffusive fluctuations for generalized hard rods dynamics
    2023/05/22 by Ferrari, Pablo A., Olla, Stefano · 2 citations
    #70F45 #82C21 #82D15 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)
  6. The Mean Field Ensemble Kalman Filter: Near-Gaussian Setting
    2022/12/26 by José A. Carrillo, Franca Hoffmann, Carrillo, J. A. +9 · 4 citations
    Computer Science · Earth and Planetary Sciences · Environmental Science · #62F15 #65C35 #70F45 #93E11 #Dynamical Systems (math.DS) #FOS: Mathematics #Geology and Paleoclimatology Research #Geophysics and Gravity Measurements #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Soil Geostatistics and Mapping #Target Tracking and Data Fusion in Sensor Networks
  7. Hard Rod Hydrodynamics and the Levy Chentsov Field
    2022/11/20 by Pablo A. Ferrari, Ferrari, Pablo A., Chiara Franceschini +5 · 1 citation
    Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #37B15 #70F45 #82C21 #82D15 #Complex Systems and Time Series Analysis #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
  8. Classifying minimum energy states for interacting particles: Spherical Shells
    2021/07/25 by Davies, Cameron, Lim, Tongseok, McCann, Robert J. · 2 citations
    #31B10 #35Q70 #37L30 #49Q10 #70F45 #90C20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Optimization and Control (math.OC) #Probability (math.PR)